The following table provides data on three popular protein supplements. (Figures shown correspond to a single serving.)   Protein (g) Carbohydrates (g) Sodium (mg) Cost ($) Designer Whey (Next) 18 2 80 0.50 Muscle Milk (Cytosport) 32 16 240 1.60 Pure Whey Protein Stack (Champion) 24 3 100 0.60 You have a mixture of Designer Whey and Muscle Milk that costs a total of $14 and supplies exactly 107 grams of carbohydrates. How many grams of protein does it supply?

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.